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Finding the Fourth Proportional to 470,609.64, 649,373.68 and 276,902.19

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Solution

The fourth proportional to 470,609.64, 649,373.68 and 276,902.19 is: 382,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,609.64 : 649,373.68 = 276,902.19 : x
  2. Step 2: Convert to fraction form
    470,609.64/649,373.68 = 276,902.19/x
  3. Step 3: Cross multiply
    470,609.64x = 649,373.68 × 276,902.19
  4. Step 4: Simplify right side
    470,609.64x = 179,812,993,418.91
  5. Step 5: Solve for x
    x = 179,812,993,418.91/470,609.64
  6. Step 6: Final answer
    x = 382,085.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.